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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Integral representations > Integral representations of negative integer order





http://functions.wolfram.com/07.14.07.0002.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == (((-1)^n Gamma[\[Lambda] + 1/2] Gamma[2 \[Lambda] + n] (1 - z^2)^(1/2 - \[Lambda]))/(n! 2^n Gamma[2 \[Lambda]] Gamma[\[Lambda] + n + 1/2])) D[(1 - z^2)^(\[Lambda] + n - 1/2), {z, n}] /; Element[n, Integers] && n >= 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29